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46896068025 = 3252144372
BaseRepresentation
bin101011101011001110…
…010011010110111001
311111001021020002102100
4223223032103112321
51232020343134100
633313241254013
73250062000252
oct535316232671
9144037202370
1046896068025
1118985676014
129109494309
1345649990a1
1423ac3d1b29
151347121400
hexaeb3935b9

46896068025 has 27 divisors (see below), whose sum is σ = 84001887021. Its totient is φ = 25009503840.

The previous prime is 46896067979. The next prime is 46896068039. The reversal of 46896068025 is 52086069864.

It is a happy number.

The square root of 46896068025 is 216555.

It is a perfect power (a square), and thus also a powerful number.

46896068025 is a `hidden beast` number, since 4 + 6 + 8 + 9 + 606 + 8 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 942428601 + 45953639424 = 30699^2 + 214368^2 .

It is not a de Polignac number, because 46896068025 - 29 = 46896067513 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3241107 + ... + 3255543.

Almost surely, 246896068025 is an apocalyptic number.

46896068025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46896068025 is the 216555-th square number.

46896068025 is the 108278-th centered octagonal number.

It is an amenable number.

46896068025 is a deficient number, since it is larger than the sum of its proper divisors (37105818996).

46896068025 is an frugal number, since it uses more digits than its factorization.

46896068025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28890 (or 14445 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 46896068025 in words is "forty-six billion, eight hundred ninety-six million, sixty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 14437 43311 72185 129933 216555 360925 649665 1082775 3248325 208426969 625280907 1042134845 1875842721 3126404535 5210674225 9379213605 15632022675 46896068025